Answer :
Final answer:
The total vapor pressure above the solution is 181.5 torr.
Explanation:
To find the total vapor pressure above the solution, we need to calculate the partial pressures of cyclohexane and acetone and then sum them up.
First, let's calculate the mole fraction of each component:
Mole fraction of cyclohexane (Xcyclohexane) = moles of cyclohexane / total moles of solution = 1.60 mol / (1.60 mol + 2.80 mol) = 0.3636
Mole fraction of acetone (Xacetone) = moles of acetone / total moles of solution = 2.80 mol / (1.60 mol + 2.80 mol) = 0.6364
Next, let's calculate the partial pressures:
Partial pressure of cyclohexane (Pcyclohexane) = Xcyclohexane * Pcyclohexane = 0.3636 * 97.6 torr = 35.5 torr
Partial pressure of acetone (Pacetone) = Xacetone * Pacetone = 0.6364 * 229.5 torr = 146.0 torr
Finally, we can calculate the total vapor pressure:
Total vapor pressure (Ptotal) = Pcyclohexane + Pacetone = 35.5 torr + 146.0 torr = 181.5 torr
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